Bob makes his first $\$850$ deposit into an IRA earning $7$% compounded annually on the day he turns 22 and his last $\$850$ deposit on the day he turns 51 (30 equal deposits in all.) With no additional deposits, the money in the IRA continues to earn $7$% interest compounded annually until Bob retires on his 65th birthday. How much is the IRA worth when Bob retires?

Value of the IRA on Bob's 65th birthday:

(Note: The answer is a dollar amount, should include a dollar sign, and should be accurate to two decimal places).

Hint: